An Implicit Method for Numerical Solution of System of First-Order Singular Initial Value Problems
M. Kamrul Hasan *
Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi-6204, Bangladesh.
M. Suzan Ahamed
Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi-6204, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
Recently an implicit method has been developed for solving singular initial value problems numerically which have an initial singular point. The method is simple and gives significantly better results than the implicit Euler method as well as second order implicit Runge-Kutta (RK2) method. In this article, the system of first order singular initial value problems having an initial singular point has been solved by this method.
Keywords: Systems of singular initial value problems, implicit Euler method, implicit Runge-Kutta method.